michaelkpantiramp
michaelkpantiramp michaelkpantiramp
  • 02-06-2021
  • Mathematics
contestada


[tex]y = {x}^{x} [/tex]
Find
[tex] \frac{dy}{dx} [/tex]
​

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 02-06-2021

Answer:

[tex]y = x^x\\\\log y = x log x\\\\\frac{1}{y} \frac{dy}{dx} = x \cdot \frac{1}{x} + log x\\\\\frac{1}{y} \frac{dy}{dx} = 1 + log x\\\\\frac{dy}{dx} = y (1 + log x)\\\\\frac{dy}{dx} = x^x(1 + log x)[/tex]

Answer Link

Otras preguntas

An allele that is ________ will be expressed only if it is present on both chromosomes of a homologous pair.
how was the holy Roman Emperor's power limted
How many oxygen molecules (O₂) are required each time a molecule of glucose (C₆H₁₂O₆) is completely oxidized to carbon dioxide and water via aerobic respiration
Choose the correct sum of the polynomials (2x3 − 5x − 1) + (4x3 + 8x + 3).   a2x3 − 3x − 4  b6x3 + 3x + 2  c2x3 + 3x + 2  d6x3 − 3x − 2
A worldview that helps us make sense of how the environment works, our place in the environment, and right and wrong environmental behaviors is called ___
If a and b are integers and a>b,then | a | > | b | .
What are some good programs to edit YouTube videos?
write an expression that can be used to multiply 6x198 mentally
Pre-calc help please? I plotted these functions but they were all even.. Thanks.
If 4 miles of sodium react, how many moles of chlorine gas will react? 2Na + Cl2 ---> 2NaCl